Example 12.19.  Find  [Graphics:Images/LaplaceShiftingMod_gr_63.gif]  if  [Graphics:Images/LaplaceShiftingMod_gr_64.gif] is as given in Figure 12.24.

     [Graphics:Images/LaplaceShiftingMod_gr_65.gif]

                 Figure 12.24.  The function [Graphics:Images/LaplaceShiftingMod_gr_66.gif].

Explore Solution 12.19.

Enter the function [Graphics:../Images/LaplaceShiftingMod_gr_70.gif].  

[Graphics:../Images/LaplaceShiftingMod_gr_71.gif]

[Graphics:../Images/LaplaceShiftingMod_gr_72.gif]

[Graphics:../Images/LaplaceShiftingMod_gr_73.gif]

Use Mathematica's LaplaceTransform package to find  [Graphics:../Images/LaplaceShiftingMod_gr_74.gif].  

[Graphics:../Images/LaplaceShiftingMod_gr_75.gif]





[Graphics:../Images/LaplaceShiftingMod_gr_76.gif]

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) 2006 John H. Mathews, Russell W. Howell